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Express x in terms of y where -6*x+11*y=-5

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Numerical solution:

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The solution

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-6*x + 11*y = -5
$$- 6 x + 11 y = -5$$
Detail solution
Given the linear equation:
-6*x+11*y = -5

Looking for similar summands in the left part:
-6*x + 11*y = -5

Move the summands with the other variables
from left part to right part, we given:
$$- 6 x = - 11 y - 5$$
Divide both parts of the equation by -6
x = -5 - 11*y / (-6)

We get the answer: x = 5/6 + 11*y/6
Rapid solution [src]
     5   11*re(y)   11*I*im(y)
x1 = - + -------- + ----------
     6      6           6     
$$x_{1} = \frac{11 \operatorname{re}{\left(y\right)}}{6} + \frac{11 i \operatorname{im}{\left(y\right)}}{6} + \frac{5}{6}$$
x1 = 11*re(y)/6 + 11*i*im(y)/6 + 5/6